Details

sample154.0ms

Algorithm

intervals

Results

69.0ms	315×	body	80	valid
26.0ms	32×	body	640	valid
24.0ms	22×	body	1280	valid
10.0ms	18×	body	320	valid
3.0ms	6×	body	160	valid

simplify17.3s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.7b	(* (* sin cos) x)
0.8b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
97×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-down`
60×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow-sqr` `pow-prod-up`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow-plus` `associate-l` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `div-sub` `swap-sqr` `cos-2` `div-inv`

Counts

4 → 146

Calls

4 calls:

Slowest

99.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
96.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
22.0ms	(* (* sin cos) x)
15.0ms	(* (* sin cos) x)

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
87.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
43.0ms	(* (* sin cos) x)
38.0ms	(* (* sin cos) x)

simplify622.0ms

Counts: 158 → 158

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.8b

localize34.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.7b	(* (* sin cos) x)
0.7b	(/ (cos (* 2 x)) (* (* sin cos) x))
0.7b	(/ 1 (* (* sin cos) x))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp`
12×	`cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`div-exp` `pow-prod-down`
6×	`cbrt-undiv` `times-frac` `associate-r` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 105

Calls

4 calls:

Slowest

30.0ms	(* (* sin cos) x)
27.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
25.0ms	(/ 1 (* (* sin cos) x))
20.0ms	(* (* sin cos) x)

series173.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

54.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
51.0ms	(* (* sin cos) x)
36.0ms	(/ 1 (* (* sin cos) x))
32.0ms	(* (* sin cos) x)

simplify3.7s

Counts: 117 → 117

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.7b

localize46.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.1b	(* (/ 1 (* sin cos)) (/ (cos (* 2 x)) x))
0.8b	(/ 1 (* sin cos))
0.7b	(/ 1 (* (* sin cos) x))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
44×	`add-cbrt-cube`
35×	`prod-exp`
25×	`div-exp`
23×	`add-sqr-sqrt`
20×	`pow1`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-r`
15×	`cbrt-unprod`
12×	`cbrt-undiv`
9×	`rec-exp` `1-exp`
8×	`associate-l` `pow-prod-down`
6×	`associate-/l*`
5×	`pow-flip`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative` `inv-pow` `unswap-sqr`
1×	`frac-times` `associate-l/` `associate-r/`

Counts

4 → 145

Calls

4 calls:

Slowest

47.0ms	(* (/ 1 (* sin cos)) (/ (cos (* 2 x)) x))
29.0ms	(/ 1 (* (* sin cos) x))
15.0ms	(* (* sin cos) x)
14.0ms	(/ 1 (* sin cos))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(* (/ 1 (* sin cos)) (/ (cos (* 2 x)) x))
39.0ms	(* (* sin cos) x)
33.0ms	(/ 1 (* (* sin cos) x))
14.0ms	(/ 1 (* sin cos))

simplify761.0ms

Counts: 157 → 157

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (/ (cos (* x 2)) x) (* sin cos))
3.7b	(* (* sin cos) x)
0.7b	(/ 1 (* (* sin cos) x))
0.2b	(/ (cos (* x 2)) x)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
43×	`times-frac`
32×	`add-cbrt-cube`
29×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-/l*`
15×	`pow1`
14×	`prod-exp`
13×	`div-exp`
10×	`cbrt-undiv`
8×	`cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `pow-flip`
1×	`associate-l` `*-commutative` `inv-pow` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

Slowest

40.0ms	(/ (/ (cos (* x 2)) x) (* sin cos))
25.0ms	(/ (cos (* x 2)) x)
25.0ms	(* (* sin cos) x)
25.0ms	(/ 1 (* (* sin cos) x))

series128.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(/ (/ (cos (* x 2)) x) (* sin cos))
32.0ms	(/ (cos (* x 2)) x)
27.0ms	(* (* sin cos) x)
24.0ms	(/ 1 (* (* sin cos) x))

simplify3.5s

Counts: 148 → 148

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

regimes240.0ms

Accuracy

0% (0.6b remaining)

Error of 2.8b against oracle of 2.2b and baseline of 2.8b

bsearch3.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.7s	8990×	body	80	valid
1.0s	811×	body	1280	valid
778.0ms	955×	body	640	valid
374.0ms	578×	body	320	valid
116.0ms	321×	body	160	valid